Gilles Bonnet

activity

20162026

most citedThreshold phenomena for high-dimensional random polytopes

17 citations · 38 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.MG2020★ 4 cited

Sharp inequalities for the mean distance of random points in convex bodies

Gilles Bonnet, Anna Gusakova, Christoph Thäle +1

For a convex body $K \subset R^{d}$ the mean distance $Δ (K) = E ∣ X_{1} - X_{2} ∣$ is the expected Euclidean distance of two independent and uniformly distributed random points…

math.PR2020

Weak convergence of the intersection point process of Poisson hyperplanes

Anastas Baci, Gilles Bonnet, Christoph Thäle

This paper deals with the intersection point process of a stationary and isotropic Poisson hyperplane process in $R^{d}$ of intensity $t > 0$ , where only hyperplanes that inte…